Highest Common Factor of 1199, 1893 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 1199, 1893 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1199, 1893 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 1199, 1893 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 1199, 1893 is 1.
HCF(1199, 1893) = 1
HCF of 1199, 1893 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1199, 1893 is 1.
Highest Common Factor of 1199,1893 is 1
Step 1: Since 1893 > 1199, we apply the division lemma to 1893 and 1199, to get
1893 = 1199 x 1 + 694
Step 2: Since the reminder 1199 ≠ 0, we apply division lemma to 694 and 1199, to get
1199 = 694 x 1 + 505
Step 3: We consider the new divisor 694 and the new remainder 505, and apply the division lemma to get
694 = 505 x 1 + 189
We consider the new divisor 505 and the new remainder 189,and apply the division lemma to get
505 = 189 x 2 + 127
We consider the new divisor 189 and the new remainder 127,and apply the division lemma to get
189 = 127 x 1 + 62
We consider the new divisor 127 and the new remainder 62,and apply the division lemma to get
127 = 62 x 2 + 3
We consider the new divisor 62 and the new remainder 3,and apply the division lemma to get
62 = 3 x 20 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1199 and 1893 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(62,3) = HCF(127,62) = HCF(189,127) = HCF(505,189) = HCF(694,505) = HCF(1199,694) = HCF(1893,1199) .
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Frequently Asked Questions on HCF of 1199, 1893 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 1199, 1893?
Answer: HCF of 1199, 1893 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1199, 1893 using Euclid's Algorithm?
Answer: For arbitrary numbers 1199, 1893 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.